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We prove an all genera version of the Crepant Resolution Conjecture of Ruanand Bryan-Graber for type A surface singularities. We are based on a methodthat explicitly computes Hurwitz-Hodge integrals described in an earlier paperand some recent results by Liu-Xu for some intersection numbers on theDeligne-Mumford moduli spaces. We also generalize our results to somethree-dimensional orbifolds.

Crepant resolution conjecture in all genera for type A singularities